Since a wife cannot be a dependent, only the first sentence in your citation is relevant.
It would be good to review the section titled "Supporting Documentation Requirements" beginning on page 2 of the instructions for Form W-7. Continuing on further, there is a chart of documents which shows various acceptable documentation. Any of the indicated documents should be sufficient to establish foreign status and/or identity. See the W-7 instructions and the chart at:
https://www.irs.gov/pub/irs-pdf/iw7.pdf
or
https://www.irs.gov/instructions/iw7
